Trump named New York Yankees All-Star closer Mariano Rivera, three-time volleyball Olympic gold medalist Misty May-Treanor and Heisman Trophy-winning Dallas Cowboys fullback Herschel Walker, as co-chairs for the council.
Belichick, among many others, will serve a two-year term.
Under Trump, the council is more focused on sport, while former President Barack Obama's administration was more focused on nutrition. In the run-up to the 2016 presidential election, Belichick even wrote a letter of support for Trump, which Trump then read aloud at a rally.
"The Council's mission aligns with my beliefs and several of the Bill Belichick Foundation's goals and values as they relate to sports, youth athletics, and personal health and wellness", Belichick said in a statement.
A source told Axios that the council will be at the White House in the coming months for a "sports field day". It was the team's fifth Super Bowl victory since 1960.
In 2015, Trump said Belichick hugged and kissed him on the Patriots' sideline during a game.
Among those who once "worked" for Trump on NBC and will now "work" for Trump on this largely ceremonial panel are former Yankees and Red Sox outfielder Johnny Damon, bodybuilder and Incredible Hulk actor Lou Ferrigno, former National Football League running back Herschel Walker, and pro golfer Natalie Gulbis.